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Finding the Fourth Proportional to 56,413.60, 84,596.10 and 28,322.80

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Solution

The fourth proportional to 56,413.60, 84,596.10 and 28,322.80 is: 42,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,413.60 : 84,596.10 = 28,322.80 : x
  2. Step 2: Convert to fraction form
    56,413.60/84,596.10 = 28,322.80/x
  3. Step 3: Cross multiply
    56,413.60x = 84,596.10 × 28,322.80
  4. Step 4: Simplify right side
    56,413.60x = 2,395,998,421.08
  5. Step 5: Solve for x
    x = 2,395,998,421.08/56,413.60
  6. Step 6: Final answer
    x = 42,472.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.